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- Title
Unilateral left-tail Anderson Darling testbased spectrum sensing with Laplacian noise.
- Authors
Lijuan Jiang; Yongzhao Li; Yinghui Ye; Yunfei Chen; Ming Jin; Hailin Zhang
- Abstract
This study focuses on spectrum sensing under Laplacian noise. To mitigate the negative effects caused by the heavytailed behaviour of Laplacian noise, the fractional lower order moments (FLOM) technology is employed to pre-process the received samples before spectrum sensing. Through exploiting the asymmetrical difference between the distribution for the FLOM of received samples in the absence and presence of primary users, the authors formulate the spectrum sensing problem under Laplacian noise as a unilateral goodness-of-fit (GoF) test problem. Based on this test problem, they propose a new GoFbased detector, which is called a unilateral left-tail Anderson Darling (ULAD) detector. The analytical expressions for the theoretical performance, in terms of false-alarm and detection probabilities, of the ULAD are derived. Moreover, a closed-form expression for the optimal detection threshold is also derived to minimise the total error rate. Simulation results are provided to validate the theoretical analyses and to demonstrate the superior performance of the proposed detector than others.
- Subjects
GOODNESS-of-fit tests; CO-channel interference; RANDOM noise theory; STOCHASTIC resonance; ANTENNAS (Electronics)
- Publication
IET Communications (Wiley-Blackwell), 2019, Vol 13, Issue 6, p696
- ISSN
1751-8628
- Publication type
Article
- DOI
10.1049/iet-com.2018.5598